Category: Algebra

Question Number 142414 by mathdanisur last updated on 31/May/21 $$4{sin}^{2}18°+2sin18°+2,5=?$$ Commented by som(math1967) last updated on 31/May/21 $$3.5$$ Commented by…

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Question Number 11302 by uni last updated on 19/Mar/17 $$\frac{\sin 10\mathrm{x}-\sin 6\mathrm{x}-\sin 2\mathrm{x}}{\sin 9\mathrm{x}-\sin 7\mathrm{x}-\mathrm{sinx}}=?$$ Answered by sandy_suhendra last updated on 20/Mar/17 $$=\frac{(\sin 10\mathrm{x}-\sin 6\mathrm{x})-\sin 2\mathrm{x}}{(\sin 9\mathrm{x}-\sin 7\mathrm{x})-\mathrm{sinx}}$$$$=\frac{2\cos 8\mathrm{xsin}2\mathrm{x}-\sin 2\mathrm{x}}{2\cos 8\mathrm{xsinx}-\mathrm{sinx}}$$$$=\frac{\mathrm{sin2x}\left(\mathrm{2cos8x}−\mathrm{1}\right)}{\mathrm{sinx}\left(\mathrm{2cos8x}−\mathrm{1}\right)} \…

Question Number 11285 by uni last updated on 19/Mar/17 $$\frac{sin20}{cos80-tan30\times sin80}=?$$ Answered by mrW1 last updated on 19/Mar/17 $$=\frac{sin20}{cos80-\frac{\sin 30}{\cos 30}\times sin80}$$$$=\frac{sin20\times \cos 30}{\cos 30\times cos80-\sin 30\times sin80}$$$$=\frac{{sin}\mathrm{20}×\mathrm{cos}\:\mathrm{30}}{\mathrm{cos}\:\mathrm{110}} \…